On Subsets of Q(√<span style="text-decoration:overline;">m</span>) Q under the Action of Hecke Groups H(λ<sub>q</sub>)

• 作者: M. Asim Zafar M. Aslam Malik
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Quadratic Irrationals HECKE GROUPS Legendre Symbol G-Set
• 年，卷（期）: yysxyw_2014,（8）
• 页码范围: 1284-1291
• 页数: 8页
• 分类号: O1

摘要

is the disjoint union of for all , where is the set of all roots of primitive second degree equations , with reduced discriminant equal to k2m. We study the action of two Hecke groups—the full modular group and the group of linear-fractional transformations on . In particular, we investigate the action of on for finding different orbits.